Results 71 to 80 of about 11,760,676 (326)
An inequality for the product of two integrals relating to the incomplete gamma function
The inequality is proved for and , and new inequalities are established for the integrals and , .
Laforgia Andrea, Elbert Árpád
doaj
Decoding the dual role of autophagy in cancer through transcriptional and epigenetic regulation
Transcriptional and epigenetic regulation controls autophagy, which exerts context‐dependent effects on cancer: Autophagy suppresses tumorigenesis by maintaining cellular homeostasis or promotes tumor progression by supporting survival under stress. In this “In a Nutshell” article, we explore the intricate mechanisms of the dual function of autophagy ...
Young Suk Yu, Ik Soo Kim, Sung Hee Baek
wiley +1 more source
Autophagy in cancer and protein conformational disorders
Autophagy plays a crucial role in numerous biological processes, including protein and organelle quality control, development, immunity, and metabolism. Hence, dysregulation or mutations in autophagy‐related genes have been implicated in a wide range of human diseases.
Sergio Attanasio
wiley +1 more source
Cartan projections of fiber products and non quasi-isometric embeddings [PDF]
Let $\Gamma$ be a finitely generated group and $N$ be a normal subgroup of $\Gamma$. The fiber product of $\Gamma$ with respect to $N$ is the subgroup $\Gamma \times_N \Gamma=\{(\gamma, \gamma w): \gamma \in \Gamma, w \in N\}$ of the direct product $\Gamma \times \Gamma$. For every representation $\rho:\Gamma \times_N \Gamma \rightarrow \mathsf{GL}_d(k)
arxiv
Some logarithmically completely monotonic functions related to the gamma function [PDF]
In this article, logarithmically complete monotonicity properties of some functions such as $\frac1{[\Gamma(x+1)]^{1/x}}$, $\frac{[{\Gamma(x+\alpha+1)}]^{1/(x+\alpha)}}{[{\Gamma(x+1)}]^{1/x}}$, $\frac{[\Gamma(x+1)]^{1/x}}{(x+1)^\alpha}$ and $\frac{[\Gamma(x+1)]^{1/x}}{x^\alpha}$ defined in $(-1,\infty)$ or $(0,\infty)$ for given real number $\alpha\in ...
arxiv +1 more source
The protonated form of butyrate, as well as other short‐chain fatty acids (SCFAs), is membrane permeable. In acidic extracellular environments, this can lead to intracellular accumulation of SCFAs and cytosolic acidification. This phenomenon will be particularly relevant in acidic environments such as the large intestine or tumor microenvironments ...
Muwei Jiang+2 more
wiley +1 more source
In this explorative biomarker analysis, we assessed serial sampling of circulating tumor cells (CTCs) with CellSearch in two randomized trials testing immune checkpoint inhibitors (ICIs) in metastatic breast cancer. Our data demonstrate a prognostic potential of CTCs, most apparent 4 weeks into ICI therapy.
Nikolai Kragøe Andresen+13 more
wiley +1 more source
Properties of Ultra Gamma Function [PDF]
In this paper we study the integral of type \[_{\delta,a}\Gamma_{\rho,b}(x) =\Gamma(\delta,a;\rho,b)(x)=\int_{0}^{\infty}t^{x-1}e^{-\frac{t^{\delta}}{a}-\frac{t^{-\rho}}{b}}dt.\] Different authors called this integral by different names like ultra gamma function, generalized gamma function, Kratzel integral, inverse Gaussian integral, reaction-rate ...
arxiv
REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION
In the note, the authors give several remarks on the paper in "Chen and Haigang Zhou On completely monotone of an arbitrary real parameter function involving the gamma function. Applied Mathematics and Compulation, 2014, vol. 242, pp.
F. Qi, B. N. Guo
doaj
We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTC‐derived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsy‐derived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
Nataša Stojanović Gužvić+31 more
wiley +1 more source